1. Section 5.5 The Family of Quadratic Functions

2. Graph the following functions on the same set of axes
Give the coordinates of the vertex for each graph

3. Graph the following functions on the same set of axes
Give the coordinates of the vertex for each graph

4. The general form of a quadratic function with vertex (h, k) is
The sign of a determines whether it opens up or down
The magnitude of a determines how wide it is

5. To find the vertex of a general quadratic given by
we use the vertex formula given by
Definition:
The axis of symmetry is a vertical line that divides the parabola into two symmetrical parts
It is given by

6. Convert the following polynomials to the general form of a quadratic
Given
What is the vertex?
Does it open up or down?
How many x-intercepts does it have?
Is it narrower or wider than y = x2?
Convert the following polynomials to the general form of a quadratic

7. Do the following problems ALGEBRAICALLY
If a ball is thrown up from a bridge and allowed to fall past the bridge to the ground, its height, h (in feet), after t seconds in the air is given by
Do the following problems ALGEBRAICALLY
How high is the bridge?
What is the height of the ball When does the ball hit the ground?
When does the ball return to the height from which it was thrown?